43409823575040 has 1056 divisors, whose sum is σ = 168840280627200. Its totient is φ = 10631010779136.

The previous prime is 43409823575029. The next prime is 43409823575147. The reversal of 43409823575040 is 4057532890434.

43409823575040 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 9 + 8 + 23 + 575 + 0 + 40 = 666.

It is a super-3 number, since 3×43409823575040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3218635177 + ... + 3218648663.

Almost surely, 2^{43409823575040} is an apocalyptic number.

43409823575040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43409823575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420140313600).

43409823575040 is an abundant number, since it is smaller than the sum of its proper divisors (125430457052160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43409823575040 is a wasteful number, since it uses less digits than its factorization.

43409823575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13739 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 43409823575040 in words is "forty-three trillion, four hundred nine billion, eight hundred twenty-three million, five hundred seventy-five thousand, forty".